Answers
Related Questions
Find the distance between (6, -2) and (1, -2).
Answers
Answer:
it is 5 units
Step-by-step explanation:
All you have to do for this one is subtract 6-1 which equal 5 units. This only works in this one because is says at the end -2 on both the numbers.
A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the disease. Also, if a person does not have the disease, the test will report that he or she does not have it with probability 0.9. Only 3% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, what is the conditional probability that she does, in fact, have the disease
Answers
Answer:
0.2177 = 21.77% conditional probability that she does, in fact, have the disease
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Test positive
Event B: Has the disease
Probability of a positive test:
90% of 3%(has the disease).
1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So
[tex]P(A) = 0.90*0.03 + 0.1*0.97 = 0.124[/tex]
Intersection of A and B:
Positive test and has the disease, so 90% of 3%
[tex]P(A \cap B) = 0.9*0.03 = 0.027[/tex]
What is the conditional probability that she does, in fact, have the disease
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177[/tex]
0.2177 = 21.77% conditional probability that she does, in fact, have the disease
What is the measurement of Q?
Answers
Answer:
32
Step-by-step explanation:
I did the mathmathics
Answer: it would be 32
For this problem, assume that the committee contains 6 men and 9 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women
Answers
Answer:
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we need to know the combinations formula and conditional probability.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
Event A: Contains both men and woman
Event B: Consists of two men and 1 woman.
Probability of containing both men and woman:
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9), or 1 men(from a set of 6) and 2 women(from a set of 9). So
[tex]D = C_{6,2}*C_{9,1} + C_{6,1}*C_{9,2} = \frac{6!}{2!4!}*\frac{9!}{1!8!} + \frac{6!}{1!5!}*\frac{9!}{2!7!} = 351[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A) = \frac{D}{T} = \frac{351}{455} = 0.7714[/tex]
Intersection of events A and B:
Intersection between both men and women, and 2 men and 1 woman, is 2 man and 1 women. So
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9).
[tex]D = C_{6,2}*C_{9,1} = 135[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A \cap B) = \frac{D}{T} = \frac{135}{455} = 0.2967[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2967}{0.7714} = 0.3846[/tex]
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Solve.
4x + 6 - 2x - 5 + 9
Answers
4x - 2x = 2x
6 - 5 + 9 = 10
2x + 10
If you have to solve for x (if you need one number for a value) -
Set equal to 0.
2x + 10 = 0
Subtract 10 from both sides.
2x = 10
Divide 2 by both sides.
x = 5
Answer:
Step-by-step explanation:
Group the like terms:
4x-2x+6-5+9
Add the similar elements:
2x+6-5+9
Add/Subtract the numbers:
2x+10
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)
Answers
Answer:
(x, y) → (x + 5, y – 3)
Step-by-step explanation:
Refer to a graph. It helps.
Up = +
Down = -
Right = +
Left = -
Answer:
actually, the CORRECT answer is C) (x, y) → (x – 3, y + 5)
Step-by-step explanation:
got 100% on my e2020 unit test! ;D
In Ms. Perron’s class, 60% of the students are boys. There are 26 students in the class. What is the total number of boys in Ms. Perron’s class?
Help :'/
Answers
Answer:
Let the no. of students be X.
Boys = 60% of X .
So Boys = (60/100)*X.
So left 40% of students are girls and it is given they are 14.
So total students X= total boys + total girls.
X = (60/100)*X+14.
(40/100)*X = 14.
X = (14*100)/40.
X = 35.
X - (60/100)*X = 14.
Step-by-step explanation:
can someone please help me with this (due today)
Answers
sorry i can’t do the rest
Write the equation for the function graphed above
g(x)=
Answers
-(x+1)^2 + 3
move 3 units up, 1 unit to the left, and a reflection from x^2.
2g + h =2
g -h= -5
find g and h step by step explanation
Answers
Answer:
Step-by-step explanation:
2g + h = 2 --------------(I)
g - h = -5------------(II)
g = -5 + h
Plugin g = -5 + h in equation (I)
2(-5 + h) + h = 2 {Distributive property:a(b+c) = a*b +a*c}
(-5)*2 + h *2 + h= 2
-10 + 2h + h = 2
3h = 2 + 10
3h = 12
h = 12/3
h = 4
Substitute h= 6 in equation (I)
2g + 4 = 2
2g = 2 - 4
2g = -2
g = -2/2
g = -1
A group of students organized a car wash to raise
money for a local charity. The students charged $5.00
for each car they washed. In 3 hours, they washed 15
cars. At that rate, how much money could they earn
from washing cars for eight hours?
Answers
Answer:
Answer is 160.00
Step-by-step explanation:
*proportion*
3hours/12cars
8hours/ (x) cars
X=32
Answer:
I think they would earn $40 buckeroos in 8 hours
Step-by-step explanation:
$5.00 x 8 hours = $40.00
I hope this was right & helpful ^w^
Peter's family traveled 5/8 of the distance to his grandmother’s house on Saturday. They traveled 2/3
of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Answers
11. Which of the following sets of number is not a Pythagorean triple?
A. 9-40-41
B. 9-12-15
C. 5-12-13
D. Not Here
Answers
Simplify ((–3)2)3. Question 4 options: A) (–3)5 B) (–3)3/2 C) (–3)6 D) (–3)2/3
Answers
A turntable rotates at 68 revolutions per minute. What is its angular speed in radians per second?
Answers
Answer:
[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]
General Formulas and Concepts:
Math
Dimensional AnalysisPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Angular Speed: 2π rad per revolutionStep-by-step explanation:
Step 1: Define
68 revolutions per minute
Step 2: Identify Conversions
2π rad per revolution
60 seconds = 1 minute
Step 2: Convert
[DA] Set up: [tex]\displaystyle \frac{68 \ rev}{1 \ min} \cdot \frac{2 \pi \ rad}{1 \ rev} \cdot \frac{1 \ min}{60 \ sec}[/tex][DA] Multiply/Divide [Cancel out units]: [tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]What is 5/7 times 100
Answers
Answer: 500/700
Step-by-step explanation:
Multiply the numerator and denominator by 100.
Answer:
500/7
Step-by-step explanation:
5/7 × 100 =
5/7 × 100/1
5 × 100 / 7 × 1
= 500/7
I Need Help! 50pts. Write a paragraph explaining how to graph and find the reference angle for the 435° angle on the unit circle.
Answers
Answer:
0° to 90°: reference angle = angle ,
90° to 180°: reference angle = 180° - angle ,
180° to 270°: reference angle = angle - 180° ,
270° to 360°: reference angle = 360° - angle .
Step-by-step explanation:
Definition of Reference Angle: Let θ be a non-quadrantal angle in standard position. The reference angle of θ is the acute angle θR that the terminal side of θ makes with the x-axis. If θ is in QI, θR = θ If θ is in QII, θR = 180° – θ or π – θ If θ is in QIII, θR = θ – 180° or θ – πThe reference angle of 240° is 60°. To find the reference angle of a given angle, A, with measure x°, we start by adding or subtracting. You can see that the terminal side of the 135° angle and the x-axis form a 45° angle (this is because the two angles must add up to 180°). This 45° angle, shown in red, is the reference angle for 135°.
ellen had 25 hair clips.7 of them and the rest were purple , what precent of the hair clips were blue,what percent of the hair clips were purple
Pls helppp
Answers
Answer:
7/25. then do 25-7. take that answer and divide by seven
Step-by-step explanation:
also, make sure to divide the smaller number by 25! it seems weird but it should work! fell free to use a calculator
Can you guys tell me if the 6 graphs are functions or not ?
Answers
Answer:
in order from left to right : NO, NO, YES, NO, YES, NO
Step-by-step explanation:
here's how you can tell! if any point on the line (or singular point) lines up VERTICALLY with a different point, it automatically is not a true function. thats why a vertical slope is "undefined" because its not a function.
i hope this made sense... have a good day !
14)
Use the GCF and rewrite: (22 + 12x)
A)
2(11 + 6x)
C) 5(4 +2x)
D) 46 + 2x)
B)
615 + 2x)
11
Answers
Answer:
A = 2(11 + 6x)
Step-by-step explanation:
GCF = Greatest Common Factor (remember example: 12 and 16 gcf = 4 because it is the largest number they have together. 12 = 4 * 3 and 16 = 4*4)
22 and 12's GCF is 2:
22 = 2*11
12 = 2*6
Using the distributive property, we can find out that A is the right answer.
However, let us check the other options:
B does not make sense because 6*5 is 30. 6 only applies to 12
C is not correct because it does not apply to 22 or 12
And D only applies to 12 as well because 4*3 = 12 but 4*6 is 24
A should be the answer so I hope this helps!
simplify 5y^2 + 5y + 5y + 5x^2.
Answers
Combine like terms
5y^2+5y+5y+5x^2
5y^2+10y+5x^2
Rearrange terms
5y^2+10y+5x^2
5x^2+5y^2+10y
Solution
5x^2+5y^2+10y
valor de la pendiente y de la ordenada al origen de y = −2x − 1
Answers
Answer:
pendiente = -2, y intersection = -1
Step-by-step explanation:
la pendiente es -2 y origen de la y es -1.
- A cylindrical fish tank can hold approximately 502.40
cubic inches of water. If the height of the fish tank is
10 inches, what is the radius of the tank? Use 3.14 for
Answers
Answer:
Step-by-step explanation:
- A cylindrical fish tank can hold approximately 502.40
cubic inches of water. If the height of the fish tank is
10 inches, what is the radius of the tank? Use 3.14 for
the answer, 6.86
Tyce makes $9.55 per hour and worked 28 hours last week. He also makes 15% commission on the $300 of
sales he made last week. How much did he make in total for last week?
Answers
Answer:
$312.40
Step-by-step explanation:
First, multiply his salary per hour by the hours he worked. (9.55 x 28 = 267.4)
Then, find 15% of 300. (300 / 0.15 = 45)
Now add the two numbers together!
267.4 + 45 = 312.40
what is bigger -1/2 or -7/10
Answers
Answer:
-1/2
Step-by-step explanation:
-1/2 is -0.5
-7/10 is -0.7
-0.5 is closer to 0 which means it is greater than -0.7
The formula for the volume of a pyramid is V=Bh/3 where h Is the helght of the pyramid and B is the area of the base. Rewrite the formula in terms of B, the area of the base. In your final answer, Include all of your work. y
Answers
Answer:
[tex]B = \fra{3V}{h}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{Bh}{3}[/tex]
Required
Make B the subject
[tex]V = \frac{Bh}{3}[/tex]
Multiply both sides by 3
[tex]3 * V = \frac{Bh}{3}*3[/tex]
[tex]3V = Bh[/tex]
Divide both sides by h
[tex]\fra{3V}{h} = \frac{Bh}{h}[/tex]
[tex]\fra{3V}{h} = B[/tex]
[tex]B = \fra{3V}{h}[/tex]
Three friends want to share 1/4 pound of chocolate. If they cut the chocolate into equal pieces,how much does each piece of chocolate weigh, in pounds
Answers
Answer:
I gotchu its 1/12
Step-by-step explanation:
I think the answer is 1/12 bc...
Keep change flip so
1/4÷3=?
is now...
1/4 keep
÷ is now x (division changes to multiplication)
3 is a whole number an that can turn into 3/1 which flipped is 1/3
The equation is 1/4 x 1/3
1/4 x 1/3 = 1/12
The answer is 1/12
Hope this helped :)
Posted on: 2-24-2021 at 8:37am
Positive quote of the day:
“Every day may not be good... but there's something good in every day.”
If 30 ounces of cereal costs $2.49, what is the cost per
ounce?
Answers
Answer:
the answer .08
Step-by-step explanation:
Answer:
0.08
Step-by-step explanation:
2.49 divided by 30 gives you 0.08 so it's 8 cents per ounce
pienso un numero .cuando le sumo 25 obtengo 23 ¿cual es ese numero.?..
pienso en un numero. cuando le sumo obtengo 1026. ¿cual es el numero?...
pienso en un numero. cuando le resto 9 obtengo 16. ¿cual es ese numero?...
pienso en un nuemero. cuando le resto 570 obtengo 425. ¿cual es el numero?...
pienso en un numero. cuando le sumo 12 y le resto 15 obtengo 23 ¿cual es ese numero?...
pienso en un numero. cuando le resto 6 y le sumo 7 obtengo 22. ¿cual es ese numeo?...
pienso un numero. cuando lo multiplico por 5 obtengo 35. ¿cual es ese numero?...
pienso en un numero. cuando lo multiplico por 3 obtengo 45. ¿cual es ese numero?...
pienso en un numero. cuando lo multiplico por 3 y le sumo 12 obtengo 114. ¿cual es ese numero?...
el triple de un numero es igual 96. ¿cual es ese numero?...
el triple de la edad de mario es igual a la de su papa tiene 18 años. ¿que edad tiene mario?...
porfavor rapido...
Answers
Answer:
creo que es 15
Step-by-step explanation:
Answer:
can u translate for english?
Step-by-step explanation:
I can't understand
A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 2.5 feet above the base of the building.
Approximately, how long is the ramp?
A. 0.65 feet
B. 2.59 feet
C. 9.33 feet
D. 9.66 feet
Answers
Answer:
Step-by-step explanation:
[tex]\sin15^o=\frac{2.5}{r}\\ \\ r=\frac{2.5}{\sin15^o\\ \\ r\approx 9.66ft[/tex]